Question

Penny needs to double the size of her science project globe from a radius of 11 inches to 22
inches. How much material did Penny originally use to cover the globe? How much more
material will she need to cover the globe at a radius of 22 inches?

Answer 1

the shape of a globe is sphere. to find the amount of material used find the volume of the sphere.
the formula to find the volume of a sphere is
V=(4/3)*pi*r^3
here r-radius.
in the original case r=11
in the second case r=22.
the difference between the volumes will give u the additional material needed.
Does that help? @DaWizjr

Answer 2

Thats the answer?

Answer 3

No I need the answer so I can do the other problems

Answer 4

original case:
V_o=(4/3)*pi*(11)^3
=?

Answer 5

(5324 pi)/3

Answer 6

(5324 pi)/3=?

Answer 7

Thats all I could get

Answer 8

How much material did Penny originally use to "cover" the globe? correct me if I'm wrong, but does this imply surface area?

Answer 9

Yes

Answer 10

Then your initial material would be given by the equation S= 4pir^2 I believe where r=11 then you would replace r with 22 for part b and find the difference for part c

Answer 11

I just need the answer so I could do the rest

Answer 12

Okay, if it's surface area then my version comes out to 4*pi*11^2 = 484 pi (part a)
part b = 4*pi*22^2 = 1936pi
part c = 1936pi-484 pi = 1452 pi

If it means volume, then the answers would be
part a= (5324 pi)/3 (as ajprincess pointed out)
part b =42952pi/3
part c = 42952pi/3-(5324 pi)/3=37268pi /3

Answer 13

Thanks

Answer 14

no problem

Answer 15

@ajprincess @AnElephant